STATIONARY RANDOM WAVES PROPAGATION IN 3D VISCOELASTIC STRATIFIED SOLID  

作　　者：高强 林家浩 

机构地区：[1]State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第6期785-796,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10472023)the Special Fund for PhD Program of Education Ministry of China (No. 20040141020)

摘　　要：Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi-layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations ( ODEs) must be solved. The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi-layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations ( ODEs) must be solved. The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.

关 键 词：layered material precise integration pseudo-excitation method wave propagation random vibration 

分 类 号：TB34[一般工业技术—材料科学与工程]